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Finding the Fourth Proportional to 30,930.12, 42,724.26 and 23,716.26

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Solution

The fourth proportional to 30,930.12, 42,724.26 and 23,716.26 is: 32,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.12 : 42,724.26 = 23,716.26 : x
  2. Step 2: Convert to fraction form
    30,930.12/42,724.26 = 23,716.26/x
  3. Step 3: Cross multiply
    30,930.12x = 42,724.26 × 23,716.26
  4. Step 4: Simplify right side
    30,930.12x = 1,013,259,658.47
  5. Step 5: Solve for x
    x = 1,013,259,658.47/30,930.12
  6. Step 6: Final answer
    x = 32,759.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.